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<p>In this paper, we consider a truncated version for 1D porous-elasticity equations and established exponential decay results by incorporating damping mechanisms of time delay types acting partially on the system. Our approach is based on contribution by Ramos et al. (Appl Math Lett 101:106061, 2020). We proved that the exponential decay property holds regardless any relationship between coefficients of the system.</p>

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Exponential decay for a porous elastic truncated model with time delay effects

  • 期刊论文

  • 发表日期：

    2025年4月21日

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  • Dilberto da Silva Almeida Júnior,
  • Anderson de Jesus Araújo Ramos,
  • Mirelson Martins Freitas,
  • Baowei Feng,
  • Luiz Gutemberg Rosário Miranda

摘要

In this paper, we consider a truncated version for 1D porous-elasticity equations and established exponential decay results by incorporating damping mechanisms of time delay types acting partially on the system. Our approach is based on contribution by Ramos et al. (Appl Math Lett 101:106061, 2020). We proved that the exponential decay property holds regardless any relationship between coefficients of the system.